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Proofgold Proof

pf
Let x0 of type ιιιιιιι be given.
Let x1 of type ιιιιιιι be given.
Assume H0: Church6_p x0.
Assume H1: Church6_p x1.
Assume H2: Church6_to_u6 x0 = Church6_to_u6 x1.
Apply unknownprop_1df6cb25245842ac80f846f984ad1ab224979cc48aebddb9e27917721a4b0bdb with x0, λ x2 x3 : ι → ι → ι → ι → ι → ι → ι . x2 = x1 leaving 2 subgoals.
The subproof is completed by applying H0.
Apply H2 with λ x2 x3 . nth_6_tuple x3 = x1.
Apply unknownprop_1df6cb25245842ac80f846f984ad1ab224979cc48aebddb9e27917721a4b0bdb with x1.
The subproof is completed by applying H1.